低通和带通信号采样的频谱混叠分析  

Analysis on Frequency Aliasing in the Sampling of Lowpass and Bandpass Signals

作　　者：张新军[1] 宋文涛[1] 罗汉文[1] 

机构地区：[1]上海交通大学电子工程系,上海200030

出　　处：《上海交通大学学报》2002年第6期745-747,752,共4页Journal of Shanghai Jiaotong University

摘　　要：对带通信号的采样和重建进行了理论分析 ,结果表明 ,如果用信号的 2倍带宽频率进行采样 ,会产生频谱混叠 ,且当信号的最高和最低频率分量中含有冲激函数时 ,采样之后的信号不能精确重建原信号 ,当信号的最高和最低频率分量为有限值时 ,仍然能精确重建原信号 .研究还表明 ,低通信号的A theory analysis on the sampling and reconstruction of bandpass signal was presented. It indicates that the original signal can be uniquely reconstructed if sampling frequency is 2 times the signal band-width and there is no δ function in the frequency border. Conversely, the original signal can not be reconstructed if there is δ function in the frequency border. The similar problem encountered in the sampling on lowpass signal with Nyquist rate is only the special case of the bandpass signal sampling.

关 键 词：信号采样 频谱混叠分析 带通信号 Nyquist采样率 信号重建 低通信号 软件无线电 

分 类 号：TN911.6[电子电信—通信与信息系统]